Project: Identify Customer Segments¶

In this project, you will apply unsupervised learning techniques to identify segments of the population that form the core customer base for a mail-order sales company in Germany. These segments can then be used to direct marketing campaigns towards audiences that will have the highest expected rate of returns. The data that you will use has been provided by our partners at Bertelsmann Arvato Analytics, and represents a real-life data science task.

This notebook will help you complete this task by providing a framework within which you will perform your analysis steps. In each step of the project, you will see some text describing the subtask that you will perform, followed by one or more code cells for you to complete your work. Feel free to add additional code and markdown cells as you go along so that you can explore everything in precise chunks. The code cells provided in the base template will outline only the major tasks, and will usually not be enough to cover all of the minor tasks that comprise it.

It should be noted that while there will be precise guidelines on how you should handle certain tasks in the project, there will also be places where an exact specification is not provided. There will be times in the project where you will need to make and justify your own decisions on how to treat the data. These are places where there may not be only one way to handle the data. In real-life tasks, there may be many valid ways to approach an analysis task. One of the most important things you can do is clearly document your approach so that other scientists can understand the decisions you've made.

At the end of most sections, there will be a Markdown cell labeled Discussion. In these cells, you will report your findings for the completed section, as well as document the decisions that you made in your approach to each subtask. Your project will be evaluated not just on the code used to complete the tasks outlined, but also your communication about your observations and conclusions at each stage.

# import libraries here; add more as necessary
import numpy as np
import pandas as pd
import matplotlib.pyplot as plt
import seaborn as sns

import ast

# magic word for producing visualizations in notebook
%matplotlib inline

'''
Import note: The classroom currently uses sklearn version 0.19.
If you need to use an imputer, it is available in sklearn.preprocessing.Imputer,
instead of sklearn.impute as in newer versions of sklearn.
'''

'\nImport note: The classroom currently uses sklearn version 0.19.\nIf you need to use an imputer, it is available in sklearn.preprocessing.Imputer,\ninstead of sklearn.impute as in newer versions of sklearn.\n'

Step 0: Load the Data¶

There are four files associated with this project (not including this one):

Udacity_AZDIAS_Subset.csv: Demographics data for the general population of Germany; 891211 persons (rows) x 85 features (columns).
Udacity_CUSTOMERS_Subset.csv: Demographics data for customers of a mail-order company; 191652 persons (rows) x 85 features (columns).
Data_Dictionary.md: Detailed information file about the features in the provided datasets.
AZDIAS_Feature_Summary.csv: Summary of feature attributes for demographics data; 85 features (rows) x 4 columns

Each row of the demographics files represents a single person, but also includes information outside of individuals, including information about their household, building, and neighborhood. You will use this information to cluster the general population into groups with similar demographic properties. Then, you will see how the people in the customers dataset fit into those created clusters. The hope here is that certain clusters are over-represented in the customers data, as compared to the general population; those over-represented clusters will be assumed to be part of the core userbase. This information can then be used for further applications, such as targeting for a marketing campaign.

To start off with, load in the demographics data for the general population into a pandas DataFrame, and do the same for the feature attributes summary. Note for all of the .csv data files in this project: they're semicolon (;) delimited, so you'll need an additional argument in your read_csv() call to read in the data properly. Also, considering the size of the main dataset, it may take some time for it to load completely.

Once the dataset is loaded, it's recommended that you take a little bit of time just browsing the general structure of the dataset and feature summary file. You'll be getting deep into the innards of the cleaning in the first major step of the project, so gaining some general familiarity can help you get your bearings.

# Load in the general demographics data.
azdias = pd.read_csv('Udacity_AZDIAS_Subset.csv', delimiter=';')

# Load in the feature summary file.
feat_info = pd.read_csv('AZDIAS_Feature_Summary.csv', delimiter=';')

# Check the structure of the data after it's loaded (e.g. print the number of
# rows and columns, print the first few rows).
print(azdias.shape)
azdias.head()

(891221, 85)

print(feat_info.shape)
feat_info.head()

(85, 4)

Tip: Add additional cells to keep everything in reasonably-sized chunks! Keyboard shortcut esc --> a (press escape to enter command mode, then press the 'A' key) adds a new cell before the active cell, and esc --> b adds a new cell after the active cell. If you need to convert an active cell to a markdown cell, use esc --> m and to convert to a code cell, use esc --> y.

Step 1: Preprocessing¶

Step 1.1: Assess Missing Data¶

The feature summary file contains a summary of properties for each demographics data column. You will use this file to help you make cleaning decisions during this stage of the project. First of all, you should assess the demographics data in terms of missing data. Pay attention to the following points as you perform your analysis, and take notes on what you observe. Make sure that you fill in the Discussion cell with your findings and decisions at the end of each step that has one!

Step 1.1.1: Convert Missing Value Codes to NaNs¶

The fourth column of the feature attributes summary (loaded in above as feat_info) documents the codes from the data dictionary that indicate missing or unknown data. While the file encodes this as a list (e.g. [-1,0]), this will get read in as a string object. You'll need to do a little bit of parsing to make use of it to identify and clean the data. Convert data that matches a 'missing' or 'unknown' value code into a numpy NaN value. You might want to see how much data takes on a 'missing' or 'unknown' code, and how much data is naturally missing, as a point of interest.

As one more reminder, you are encouraged to add additional cells to break up your analysis into manageable chunks.

# Identify missing or unknown data values and convert them to NaNs.
def parse_unknown_list(input_str):
    processed_str = input_str.replace('[', '')
    processed_str = processed_str.replace(']', '')
    processed_list = processed_str.split(',')
    return processed_list

def nan_fill(input_pd, code):
    output_pd = input_pd.replace(to_replace=code, value=np.NaN)
    return output_pd
    
def safe_cast(input_val):
    try:
        return int(input_val)
    except (ValueError, TypeError):
        return str(input_val)

def data_nanner(data):
    for index, row in feat_info.iterrows():
        col_name = row.attribute
        missing_or_unknown = parse_unknown_list(row.missing_or_unknown)
        for col_name2, col_data in data.iteritems():
            if col_name == col_name2:
                for unknown_code in missing_or_unknown:
                    safe_unknown_code = safe_cast(unknown_code)
                    data[col_name2] = nan_fill(data[col_name2], safe_unknown_code)

data_nanner(azdias)

print(azdias['CAMEO_DEUG_2015'])

0         NaN
1           8
2           4
3           2
4           6
5           8
6           4
7           2
8           1
9           1
10          9
11        NaN
12          6
13          5
14        NaN
15          8
16          7
17        NaN
18          4
19          5
20          4
21          9
22          9
23          6
24        NaN
25          5
26        NaN
27          9
28          1
29          2
         ... 
891191      6
891192      5
891193      6
891194      4
891195      8
891196      4
891197      3
891198      2
891199      8
891200      9
891201      7
891202      8
891203      3
891204      3
891205      5
891206      3
891207      7
891208      2
891209      8
891210      8
891211      9
891212      9
891213      5
891214      3
891215      5
891216      7
891217      9
891218      4
891219      9
891220      6
Name: CAMEO_DEUG_2015, Length: 891221, dtype: object

Step 1.1.2: Assess Missing Data in Each Column¶

How much missing data is present in each column? There are a few columns that are outliers in terms of the proportion of values that are missing. You will want to use matplotlib's hist() function to visualize the distribution of missing value counts to find these columns. Identify and document these columns. While some of these columns might have justifications for keeping or re-encoding the data, for this project you should just remove them from the dataframe. (Feel free to make remarks about these outlier columns in the discussion, however!)

For the remaining features, are there any patterns in which columns have, or share, missing data?

# Perform an assessment of how much missing data there is in each column of the
# dataset.
for col_name, col_data in azdias.iteritems():
    fig = plt.figure(figsize=(10, 5))
    fig.add_subplot(111)
    comparison = col_data.isnull()
    plt.title(col_name)
    plt.xticks([0, 1], ['Non-nulls', 'Nulls'])
    plt.hist(comparison)

/opt/conda/lib/python3.6/site-packages/matplotlib/pyplot.py:523: RuntimeWarning: More than 20 figures have been opened. Figures created through the pyplot interface (`matplotlib.pyplot.figure`) are retained until explicitly closed and may consume too much memory. (To control this warning, see the rcParam `figure.max_open_warning`).
  max_open_warning, RuntimeWarning)

# Investigate patterns in the amount of missing data in each column.
def get_bad_column_names(data):
    bad_column_names = []
    for col_name, col_data in azdias.iteritems():
        all_count = len(azdias[col_name])
        non_null_count = azdias[col_name].count()
        null_count = all_count - non_null_count
        if null_count > non_null_count:
            bad_column_names.append(col_name)
    return bad_column_names

# Remove the outlier columns from the dataset. (You'll perform other data
# engineering tasks such as re-encoding and imputation later.)
bad_column_names = get_bad_column_names(azdias)
print(bad_column_names)

azdias_trim_cols = azdias.drop(columns=bad_column_names)
azdias_trim_cols.head()

['AGER_TYP', 'TITEL_KZ', 'KK_KUNDENTYP', 'KBA05_BAUMAX']

Discussion 1.1.2: Assess Missing Data in Each Column¶

(Double click this cell and replace this text with your own text, reporting your observations regarding the amount of missing data in each column. Are there any patterns in missing values? Which columns were removed from the dataset?)

I am choosing to remove columns for which the number of missing values is greater than the number of retrieved values. Those columns are AGER_TYP, TITEL_KZ, KK_KUNDENTYP, KBA05_BAUMAX. A lot of features with the same prefix have similar numbers of missing values. It's possible that these features are related in some way and can be reduced in the future.

Step 1.1.3: Assess Missing Data in Each Row¶

Now, you'll perform a similar assessment for the rows of the dataset. How much data is missing in each row? As with the columns, you should see some groups of points that have a very different numbers of missing values. Divide the data into two subsets: one for data points that are above some threshold for missing values, and a second subset for points below that threshold.

In order to know what to do with the outlier rows, we should see if the distribution of data values on columns that are not missing data (or are missing very little data) are similar or different between the two groups. Select at least five of these columns and compare the distribution of values.

You can use seaborn's countplot() function to create a bar chart of code frequencies and matplotlib's subplot() function to put bar charts for the two subplots side by side.
To reduce repeated code, you might want to write a function that can perform this comparison, taking as one of its arguments a column to be compared.

Depending on what you observe in your comparison, this will have implications on how you approach your conclusions later in the analysis. If the distributions of non-missing features look similar between the data with many missing values and the data with few or no missing values, then we could argue that simply dropping those points from the analysis won't present a major issue. On the other hand, if the data with many missing values looks very different from the data with few or no missing values, then we should make a note on those data as special. We'll revisit these data later on. Either way, you should continue your analysis for now using just the subset of the data with few or no missing values.

# How much data is missing in each row of the dataset?
nan_counts = azdias_trim_cols.isnull().sum(axis=1).tolist()
print(nan_counts)

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2, 49, 10, 0, 1, 0, 1, 2, 2, 0, 9, 9, 0, 2, 49, 0, 49, 0, 1, 0, 0, 2, 9, 2, 33, 0, 49, 0, 2, 0, 0, 6, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 45, 1, 1, 2, 2, 0, 6, 0, 8, 6, 0, 0, 0, 8, 6, 0, 0, 1, 2, 2, 11, 1, 0, 49, 0, 0, 7, 1, 2, 0, 0, 3, 0, 3, 1, 0, 45, 49, 35, 0, 45, 0, 0, 0, 0, 1, 1, 3, 2, 2, 45, 1, 49, 0, 2, 0, 0, 0, 2, 45, 2, 2, 9, 1, 0, 45, 2, 0, 0, 2, 13, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 49, 0, 1, 2, 0, 49, 1, 0, 0, 0, 0, 34, 0, 1, 1, 3, 2, 45, 19, 45, 49, 0, 0, 1, 0, 17, 2, 0, 49, 2, 36, 0, 8, 4, 10, 2, 2, 0, 1, 6, 1, 0, 1, 0, 0, 1, 0, 2, 49, 2, 0, 49, 0, 0, 2, 0, 35, 1, 0, 2, 3, 1, 0, 1, 2, 0, 1, 2, 10, 0, 4, 7, 1, 19, 0, 19, 19, 2, 0, 0, 2, 0, 1, 0, 6, 10, 34, 0, 0, 0, 1, 6, 4, 34, 1, 9, 34, 0, 0, 1, 2, 0, 0, 0, 1, 1, 5, 0, 0, 2, 13, 4, 0, 5, 0, 45, 0, 5, 6, 2, 45, 2, 1, 0, 2, 20, 19, 36, 16, 20, 1, 49, 0, 1, 0, 0, 0, 3, 1, 0, 10, 49, 0, 49, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 16, 0, 0, 0, 0, 3, 2, 2, 0, 1, 0, 0, 2, 3, 4, 5, 1, 2]

# Write code to divide the data into two subsets based on the number of missing
# values in each row.
def get_good_bad_split(data, threshold):
    good_rows = data[data.isnull().sum(axis=1) <= threshold]
    bad_rows = data[data.isnull().sum(axis=1) > threshold]
    return good_rows, bad_rows

good_bad = get_good_bad_split(azdias_trim_cols, 10)
azdias_good_rows = good_bad[0]
azdias_bad_rows = good_bad[1]

# Compare the distribution of values for at least five columns where there are
# no or few missing values, between the two subsets.
reliable_columns = ['ANREDE_KZ', 'FINANZ_MINIMALIST', 'GREEN_AVANTGARDE', 'SEMIO_SOZ', 'ZABEOTYP']
azdias_bad_rows_reliable = azdias_bad_rows[reliable_columns]
azdias_good_rows_reliable = azdias_good_rows[reliable_columns]
melted_bad = pd.melt(azdias_bad_rows_reliable)
melted_good = pd.melt(azdias_good_rows_reliable)
fig = plt.figure(figsize=(25, 5))
fig.add_subplot(121)
plt.title('Bad Rows')
sns.countplot(x='variable', hue='value', data=melted_bad);
fig.add_subplot(122)
plt.title('Good Rows')
sns.countplot(x='variable', hue='value', data=melted_good);

Discussion 1.1.3: Assess Missing Data in Each Row¶

(Double-click this cell and replace this text with your own text, reporting your observations regarding missing data in rows. Are the data with lots of missing values are qualitatively different from data with few or no missing values?)

Yes. On four of the five features that I selected, the bad rows overwhelmingly contained one value for these features. The good data, on the other hand, contained a mix of values for these features.

Step 1.2: Select and Re-Encode Features¶

Checking for missing data isn't the only way in which you can prepare a dataset for analysis. Since the unsupervised learning techniques to be used will only work on data that is encoded numerically, you need to make a few encoding changes or additional assumptions to be able to make progress. In addition, while almost all of the values in the dataset are encoded using numbers, not all of them represent numeric values. Check the third column of the feature summary (feat_info) for a summary of types of measurement.

For numeric and interval data, these features can be kept without changes.
Most of the variables in the dataset are ordinal in nature. While ordinal values may technically be non-linear in spacing, make the simplifying assumption that the ordinal variables can be treated as being interval in nature (that is, kept without any changes).
Special handling may be necessary for the remaining two variable types: categorical, and 'mixed'.

In the first two parts of this sub-step, you will perform an investigation of the categorical and mixed-type features and make a decision on each of them, whether you will keep, drop, or re-encode each. Then, in the last part, you will create a new data frame with only the selected and engineered columns.

Data wrangling is often the trickiest part of the data analysis process, and there's a lot of it to be done here. But stick with it: once you're done with this step, you'll be ready to get to the machine learning parts of the project!

# How many features are there of each data type?
data_types_list = []
data_types_set = set([])
for index, row in feat_info.iterrows():
    data_types_list.append(row['type'])
    data_types_set.add(row['type'])
for data_type in data_types_set:
    print('Type: ' + data_type)
    print('Count: ' + str(data_types_list.count(data_type)))
    print()

Type: mixed
Count: 7

Type: categorical
Count: 21

Type: interval
Count: 1

Type: ordinal
Count: 49

Type: numeric
Count: 7

Step 1.2.1: Re-Encode Categorical Features¶

For categorical data, you would ordinarily need to encode the levels as dummy variables. Depending on the number of categories, perform one of the following:

For binary (two-level) categoricals that take numeric values, you can keep them without needing to do anything.
There is one binary variable that takes on non-numeric values. For this one, you need to re-encode the values as numbers or create a dummy variable.
For multi-level categoricals (three or more values), you can choose to encode the values using multiple dummy variables (e.g. via OneHotEncoder), or (to keep things straightforward) just drop them from the analysis. As always, document your choices in the Discussion section.

# Assess categorical variables: which are binary, which are multi-level, and
# which one needs to be re-encoded?
feat_info_trim = feat_info[~feat_info['attribute'].isin(bad_column_names)]
categorical_features = feat_info_trim[feat_info['type'] == 'categorical']

categorical_feature_list = categorical_features['attribute'].tolist()
categorical_melted = pd.melt(azdias_good_rows[categorical_feature_list])
fig = plt.figure(figsize=(25, 100))
for index, feature in enumerate(categorical_feature_list):
    categorical_melted = pd.melt(azdias_good_rows[[feature]])
    plt.subplot(len(categorical_feature_list), 1, index+1)
    sns.countplot(x='variable', hue='value', data=categorical_melted);

/opt/conda/lib/python3.6/site-packages/ipykernel_launcher.py:4: UserWarning: Boolean Series key will be reindexed to match DataFrame index.
  after removing the cwd from sys.path.

# Re-encode categorical variable(s) to be kept in the analysis.
cols_to_drop = ['CJT_GESAMTTYP', 'FINANZTYP', 'GFK_URLAUBERTYP', 'LP_FAMILIE_FEIN', 'LP_FAMILIE_GROB', 'LP_STATUS_FEIN', 'LP_STATUS_GROB', 'NATIONALITAET_KZ', 'SHOPPER_TYP', 'ZABEOTYP', 'GEBAEUDETYP', 'CAMEO_DEUG_2015', 'CAMEO_DEU_2015']
azdias_trim2 = azdias_good_rows.drop(columns=cols_to_drop)
# azdias_trim2.head()
azdias_enc = pd.get_dummies(azdias_trim2, columns=['OST_WEST_KZ'])
azdias_enc.head()

Discussion 1.2.1: Re-Encode Categorical Features¶

(Double-click this cell and replace this text with your own text, reporting your findings and decisions regarding categorical features. Which ones did you keep, which did you drop, and what engineering steps did you perform?)

I chose to only keep binary categorical values. I would like to see the results of a simplified feature set to see if the multi-level categoricals are necessary. I can always add them back in later. Then I one hot encoded the OST_WEST_KZ column to make its values numerical.

Step 1.2.2: Engineer Mixed-Type Features¶

There are a handful of features that are marked as "mixed" in the feature summary that require special treatment in order to be included in the analysis. There are two in particular that deserve attention; the handling of the rest are up to your own choices:

"PRAEGENDE_JUGENDJAHRE" combines information on three dimensions: generation by decade, movement (mainstream vs. avantgarde), and nation (east vs. west). While there aren't enough levels to disentangle east from west, you should create two new variables to capture the other two dimensions: an interval-type variable for decade, and a binary variable for movement.
"CAMEO_INTL_2015" combines information on two axes: wealth and life stage. Break up the two-digit codes by their 'tens'-place and 'ones'-place digits into two new ordinal variables (which, for the purposes of this project, is equivalent to just treating them as their raw numeric values).
If you decide to keep or engineer new features around the other mixed-type features, make sure you note your steps in the Discussion section.

Be sure to check Data_Dictionary.md for the details needed to finish these tasks.

# Investigate "PRAEGENDE_JUGENDJAHRE" and engineer two new variables.
import math

def get_pj_values(data):
    decade_values = []
    movement_values = []
    decade_dict = {1: [40, 'Mainstream'], 2: [40, 'Avantgarde'], 
                  3: [50, 'Mainstream'], 4: [50, 'Avantgarde'], 
                  5: [60, 'Mainstream'], 6: [60, 'Avantgarde'], 
                  7: [60, 'Avantgarde'], 8: [70, 'Mainstream'], 
                  9: [70, 'Avantgarde'], 10: [80, 'Mainstream'], 
                  11: [80, 'Avantgarde'], 12: [80, 'Mainstream'], 
                  13: [80, 'Avantgarde'], 14: [90, 'Mainstream'], 15: [90, 'Avantgarde']}
    for index, row in data.iterrows():
        orig_value = row['PRAEGENDE_JUGENDJAHRE']
        if not(math.isnan(orig_value)):
            orig_value = int(orig_value)
            decade_values.append(decade_dict[orig_value][0])
            movement_values.append(decade_dict[orig_value][1])
        else:
            decade_values.append(np.nan)
            movement_values.append(np.nan)
    return decade_values, movement_values

azdias_enc2 = azdias_enc.copy()
all_values = get_pj_values(azdias_enc2)
decade_values = all_values[0]
movement_values = all_values[1]
insert_index = azdias_enc2.columns.get_loc('PRAEGENDE_JUGENDJAHRE') + 1
azdias_enc2.insert(insert_index, 'PJ_DECADE', decade_values)
insert_index += 1
azdias_enc2.insert(insert_index, 'PJ_MOVEMENT', movement_values)

azdias_enc2.iloc[:, [13, 14, 15]].head()

azdias_enc2['CAMEO_INTL_2015'].head()

1    51
2    24
3    12
4    43
5    54
Name: CAMEO_INTL_2015, dtype: object

# Investigate "CAMEO_INTL_2015" and engineer two new variables.
def get_cameo_values(data):
    house_wealth = []
    house_type = []
    wealth_dict = {1: 'Wealthy Households', 2: 'Prosperous Households',
         3: 'Comfortable Households', 4: 'Less Affluent Households',
         5: 'Poorer Households'}
    type_dict = {1: 'Pre-Family Couples & Singles', 2: 'Young Couples With Children',
         3: 'Families With School Age Children', 4: 'Older Families & Mature Couples',
         5: 'Elders In Retirement'}
    for index, row in data.iterrows():
        row_value = float(row['CAMEO_INTL_2015'])
        if not(math.isnan(row_value)):
            orig_wealth_value = int(str(row_value)[:1])
            orig_type_value = int(str(row_value)[1:2])
            house_wealth.append(wealth_dict[orig_wealth_value])
            house_type.append(type_dict[orig_type_value])
        else:
            house_wealth.append(np.nan)
            house_type.append(np.nan)
    return house_wealth, house_type

azdias_enc3 = azdias_enc2.copy()
all_values = get_cameo_values(azdias_enc3)
wealth_values = all_values[0]
type_values = all_values[1]
insert_index = azdias_enc3.columns.get_loc('CAMEO_INTL_2015') + 1
azdias_enc3.insert(insert_index, 'CAMEO_WEALTH', wealth_values)
insert_index += 1
azdias_enc3.insert(insert_index, 'CAMEO_TYPE', type_values)

i = azdias_enc3.columns.get_loc('CAMEO_INTL_2015')
azdias_enc3.iloc[:, [i, i+1, i+2]].head()

Discussion 1.2.2: Engineer Mixed-Type Features¶

(Double-click this cell and replace this text with your own text, reporting your findings and decisions regarding mixed-value features. Which ones did you keep, which did you drop, and what engineering steps did you perform?)

I looked at the two features that were recommended to modify and reduced their dimensionality by splitting each of them into two new features.

Step 1.2.3: Complete Feature Selection¶

In order to finish this step up, you need to make sure that your data frame now only has the columns that you want to keep. To summarize, the dataframe should consist of the following:

All numeric, interval, and ordinal type columns from the original dataset.
Binary categorical features (all numerically-encoded).
Engineered features from other multi-level categorical features and mixed features.

Make sure that for any new columns that you have engineered, that you've excluded the original columns from the final dataset. Otherwise, their values will interfere with the analysis later on the project. For example, you should not keep "PRAEGENDE_JUGENDJAHRE", since its values won't be useful for the algorithm: only the values derived from it in the engineered features you created should be retained. As a reminder, your data should only be from the subset with few or no missing values.

# If there are other re-engineering tasks you need to perform, make sure you
# take care of them here. (Dealing with missing data will come in step 2.1.)

azdias_enc4 = pd.get_dummies(azdias_enc3, columns=['PJ_DECADE', 'PJ_MOVEMENT', 'CAMEO_WEALTH', 'CAMEO_TYPE'])
azdias_enc4.head()

# Do whatever you need to in order to ensure that the dataframe only contains
# the columns that should be passed to the algorithm functions.

cols_to_drop = ['PRAEGENDE_JUGENDJAHRE', 'CAMEO_INTL_2015']
azdias_enc5 = azdias_enc4.drop(columns=cols_to_drop)
azdias_enc5.head()

Step 1.3: Create a Cleaning Function¶

Even though you've finished cleaning up the general population demographics data, it's important to look ahead to the future and realize that you'll need to perform the same cleaning steps on the customer demographics data. In this substep, complete the function below to execute the main feature selection, encoding, and re-engineering steps you performed above. Then, when it comes to looking at the customer data in Step 3, you can just run this function on that DataFrame to get the trimmed dataset in a single step.

def clean_data(df):
    """
    Perform feature trimming, re-encoding, and engineering for demographics
    data
    
    INPUT: Demographics DataFrame
    OUTPUT: Trimmed and cleaned demographics DataFrame
    """
    
    # Put in code here to execute all main cleaning steps:
    # convert missing value codes into NaNs, ...
    data_nanner(df)
    
    # remove selected columns and rows, ...
    bad_column_names = ['AGER_TYP', 'TITEL_KZ', 'KK_KUNDENTYP', 'KBA05_BAUMAX']
    df = df.drop(columns=bad_column_names)
    
    THRESHOLD = 0
    good_bad = get_good_bad_split(df, THRESHOLD)
    bad_rows = good_bad[1]
    df = df.drop(bad_rows.index)
    
    # Dropping multi-category columns, dummying the binary one with letters
    cols_to_drop = ['CJT_GESAMTTYP', 'FINANZTYP', 'GFK_URLAUBERTYP', 'LP_FAMILIE_FEIN', 'LP_FAMILIE_GROB', 'LP_STATUS_FEIN', 'LP_STATUS_GROB', 'NATIONALITAET_KZ', 'SHOPPER_TYP', 'ZABEOTYP', 'GEBAEUDETYP', 'CAMEO_DEUG_2015', 'CAMEO_DEU_2015']
    df = df.drop(columns=cols_to_drop)
    df = pd.get_dummies(df, columns=['OST_WEST_KZ'])
    
    # select, re-encode, and engineer column values.
    pj_values = get_pj_values(df)
    decade_values = pj_values[0]
    movement_values = pj_values[1]
    insert_index = df.columns.get_loc('PRAEGENDE_JUGENDJAHRE') + 1
    df.insert(insert_index, 'PJ_DECADE', decade_values)
    insert_index += 1
    df.insert(insert_index, 'PJ_MOVEMENT', movement_values)
    
    cameo_values = get_cameo_values(df)
    wealth_values = cameo_values[0]
    type_values = cameo_values[1]
    insert_index = df.columns.get_loc('CAMEO_INTL_2015') + 1
    df.insert(insert_index, 'CAMEO_WEALTH', wealth_values)
    insert_index += 1
    df.insert(insert_index, 'CAMEO_TYPE', type_values)
    
    df = pd.get_dummies(df, columns=['PJ_DECADE', 'PJ_MOVEMENT', 'CAMEO_WEALTH', 'CAMEO_TYPE'])
    
    cols_to_drop = ['PRAEGENDE_JUGENDJAHRE', 'CAMEO_INTL_2015']
    df = df.drop(columns=cols_to_drop)
    # Return the cleaned dataframe.
    
    return df

Step 2: Feature Transformation¶

Step 2.1: Apply Feature Scaling¶

Before we apply dimensionality reduction techniques to the data, we need to perform feature scaling so that the principal component vectors are not influenced by the natural differences in scale for features. Starting from this part of the project, you'll want to keep an eye on the API reference page for sklearn to help you navigate to all of the classes and functions that you'll need. In this substep, you'll need to check the following:

sklearn requires that data not have missing values in order for its estimators to work properly. So, before applying the scaler to your data, make sure that you've cleaned the DataFrame of the remaining missing values. This can be as simple as just removing all data points with missing data, or applying an Imputer to replace all missing values. You might also try a more complicated procedure where you temporarily remove missing values in order to compute the scaling parameters before re-introducing those missing values and applying imputation. Think about how much missing data you have and what possible effects each approach might have on your analysis, and justify your decision in the discussion section below.
For the actual scaling function, a StandardScaler instance is suggested, scaling each feature to mean 0 and standard deviation 1.
For these classes, you can make use of the .fit_transform() method to both fit a procedure to the data as well as apply the transformation to the data at the same time. Don't forget to keep the fit sklearn objects handy, since you'll be applying them to the customer demographics data towards the end of the project.

# If you've not yet cleaned the dataset of all NaN values, then investigate and
# do that now.
azdias_clean = get_good_bad_split(azdias_enc5, 0)[0]

azdias_clean.head()

# Apply feature scaling to the general population demographics data.
from sklearn import preprocessing as p

azdias_clean_ss = p.StandardScaler().fit_transform(azdias_clean)
df = pd.DataFrame(azdias_clean_ss)
df.columns = azdias_clean.columns
df.head()

Discussion 2.1: Apply Feature Scaling¶

(Double-click this cell and replace this text with your own text, reporting your decisions regarding feature scaling.)

I want to keep things as simple as possible, so I removed every row containing at least one missing value. I still have a significant amount of data to work with, so it should not be an issue. A possible downside might be that rows with missing data might overwhelmingly have certain feature characteristics, so some patterns may be excluded in the analysis. If I can't draw some solid conclusions from the data analysis, I can try another method.

Step 2.2: Perform Dimensionality Reduction¶

On your scaled data, you are now ready to apply dimensionality reduction techniques.

Use sklearn's PCA class to apply principal component analysis on the data, thus finding the vectors of maximal variance in the data. To start, you should not set any parameters (so all components are computed) or set a number of components that is at least half the number of features (so there's enough features to see the general trend in variability).
Check out the ratio of variance explained by each principal component as well as the cumulative variance explained. Try plotting the cumulative or sequential values using matplotlib's plot() function. Based on what you find, select a value for the number of transformed features you'll retain for the clustering part of the project.
Once you've made a choice for the number of components to keep, make sure you re-fit a PCA instance to perform the decided-on transformation.

# Apply PCA to the data.
from sklearn.decomposition import PCA

pca = PCA()
df_pca = pca.fit_transform(df)

view = pd.DataFrame(df_pca)
view.columns = df.columns
view.head()

# Investigate the variance accounted for by each principal component.

# I borrowed this function from one of the course notebook exercises
def pca_results(full_dataset, pca):
    '''
    Create a DataFrame of the PCA results
    Includes dimension feature weights and explained variance
    Visualizes the PCA results
    '''

    # Dimension indexing
    dimensions = dimensions = ['Dimension {}'.format(i) for i in range(1,len(pca.components_)+1)]

    # PCA components
    components = pd.DataFrame(np.round(pca.components_, 4), columns = full_dataset.keys())
    components.index = dimensions

    # PCA explained variance
    ratios = pca.explained_variance_ratio_.reshape(len(pca.components_), 1)
    variance_ratios = pd.DataFrame(np.round(ratios, 4), columns = ['Explained Variance'])
    variance_ratios.index = dimensions

    # Create a bar plot visualization
    fig, ax = plt.subplots(figsize = (25,30))

    # Plot the feature weights as a function of the components
    components.plot(ax = ax, kind = 'bar');
    ax.set_ylabel("Feature Weights")
    ax.set_xticklabels(dimensions)


    # Display the explained variance ratios
#     for i, ev in enumerate(pca.explained_variance_ratio_):
#         ax.text(i-0.40, ax.get_ylim()[1] + 0.05, "Explained Variance\n          %.4f"%(ev))

    # Return a concatenated DataFrame
    return pd.concat([variance_ratios, components], axis = 1)

pca_results(df, pca)

# Re-apply PCA to the data while selecting for number of components to retain.

def compact_pca_results(full_dataset, pca):
    # Dimension indexing
    dimensions = dimensions = ['Dimension {}'.format(i) for i in range(1,len(pca.components_)+1)]

    # PCA components
    components = pd.DataFrame(np.round(pca.components_, 4), columns = full_dataset.keys())
    components.index = dimensions

    # PCA explained variance
    ratios = pca.explained_variance_ratio_.reshape(len(pca.components_), 1)
    variance_ratios = pd.DataFrame(np.round(ratios, 4), columns = ['Explained Variance'])
    variance_ratios.index = dimensions

    # Return a concatenated DataFrame
    return pd.concat([variance_ratios, components], axis = 1)

for comp in range(3, df.shape[1]):
    pca = PCA(n_components=comp)
    df_pca = pca.fit_transform(df)
    comp_check = compact_pca_results(df, pca)
    if comp_check['Explained Variance'].sum() > 0.75:
        break
        

num_comps = comp_check.shape[0]
print("Using {} components, we can explain {}% of the variability in the original data.".format(comp_check.shape[0],comp_check['Explained Variance'].sum()))

Using 23 components, we can explain 0.7525999999999998% of the variability in the original data.

df2 = pd.DataFrame(df_pca)
df2.head()

Discussion 2.2: Perform Dimensionality Reduction¶

(Double-click this cell and replace this text with your own text, reporting your findings and decisions regarding dimensionality reduction. How many principal components / transformed features are you retaining for the next step of the analysis?)

I am retaining 23 components. They sum up to just over 75% of the variance in the original data.

Step 2.3: Interpret Principal Components¶

Now that we have our transformed principal components, it's a nice idea to check out the weight of each variable on the first few components to see if they can be interpreted in some fashion.

As a reminder, each principal component is a unit vector that points in the direction of highest variance (after accounting for the variance captured by earlier principal components). The further a weight is from zero, the more the principal component is in the direction of the corresponding feature. If two features have large weights of the same sign (both positive or both negative), then increases in one tend expect to be associated with increases in the other. To contrast, features with different signs can be expected to show a negative correlation: increases in one variable should result in a decrease in the other.

To investigate the features, you should map each weight to their corresponding feature name, then sort the features according to weight. The most interesting features for each principal component, then, will be those at the beginning and end of the sorted list. Use the data dictionary document to help you understand these most prominent features, their relationships, and what a positive or negative value on the principal component might indicate.
You should investigate and interpret feature associations from the first three principal components in this substep. To help facilitate this, you should write a function that you can call at any time to print the sorted list of feature weights, for the i-th principal component. This might come in handy in the next step of the project, when you interpret the tendencies of the discovered clusters.

# Map weights for the first principal component to corresponding feature names
# and then print the linked values, sorted by weight.
# HINT: Try defining a function here or in a new cell that you can reuse in the
# other cells.
def get_pcomp_map(pca, comp_index):
    components = pd.DataFrame(np.round(pca.components_, 4), columns = df.keys())
    pcomp = components.loc[comp_index]
    return sorted(pcomp.items(), key=lambda x: x[1], reverse=True)

print(get_pcomp_map(pca, 0))

[('PLZ8_ANTG3', 0.206), ('PLZ8_ANTG4', 0.2012), ('PLZ8_BAUMAX', 0.1995), ('HH_EINKOMMEN_SCORE', 0.1888), ('ORTSGR_KLS9', 0.1769), ('EWDICHTE', 0.1733), ('CAMEO_WEALTH_Poorer Households', 0.1584), ('CAMEO_TYPE_Pre-Family Couples & Singles', 0.1504), ('FINANZ_HAUSBAUER', 0.1486), ('KBA05_ANTG4', 0.1397), ('PLZ8_ANTG2', 0.1353), ('ARBEIT', 0.1344), ('ANZ_HAUSHALTE_AKTIV', 0.1306), ('KBA05_ANTG3', 0.1289), ('FINANZ_SPARER', 0.1269), ('PJ_MOVEMENT_Mainstream', 0.1186), ('RELAT_AB', 0.1183), ('PJ_DECADE_90.0', 0.0997), ('SEMIO_PFLICHT', 0.0956), ('GEBURTSJAHR', 0.0937), ('SEMIO_REL', 0.0924), ('SEMIO_TRADV', 0.0843), ('SEMIO_RAT', 0.0792), ('SEMIO_MAT', 0.075), ('SEMIO_FAM', 0.0689), ('REGIOTYP', 0.0687), ('OST_WEST_KZ_O', 0.0678), ('SEMIO_KULT', 0.0627), ('FINANZ_UNAUFFAELLIGER', 0.0612), ('FINANZ_ANLEGER', 0.0528), ('W_KEIT_KIND_HH', 0.0491), ('KKK', 0.0427), ('CAMEO_WEALTH_Less Affluent Households', 0.0378), ('SEMIO_SOZ', 0.0366), ('ALTER_HH', 0.0365), ('PLZ8_HHZ', 0.0331), ('SEMIO_KAEM', 0.0328), ('ANZ_HH_TITEL', 0.0318), ('HEALTH_TYP', 0.0281), ('VERS_TYP', 0.0198), ('SEMIO_DOM', 0.0159), ('KBA05_ANTG2', 0.012), ('SEMIO_KRIT', 0.0092), ('ANREDE_KZ', 0.0029), ('SOHO_KZ', -0.0021), ('ANZ_TITEL', -0.0063), ('PJ_DECADE_80.0', -0.0099), ('CAMEO_WEALTH_Comfortable Households', -0.01), ('PJ_DECADE_40.0', -0.0173), ('CAMEO_TYPE_Elders In Retirement', -0.022), ('RETOURTYP_BK_S', -0.0241), ('SEMIO_VERT', -0.0294), ('MIN_GEBAEUDEJAHR', -0.0343), ('CAMEO_TYPE_Young Couples With Children', -0.0358), ('PJ_DECADE_70.0', -0.037), ('PJ_DECADE_50.0', -0.0385), ('ONLINE_AFFINITAET', -0.0401), ('PJ_DECADE_60.0', -0.0444), ('CAMEO_TYPE_Families With School Age Children', -0.0546), ('OST_WEST_KZ_W', -0.0678), ('CAMEO_TYPE_Older Families & Mature Couples', -0.0687), ('WOHNLAGE', -0.071), ('SEMIO_ERL', -0.0727), ('KBA13_ANZAHL_PKW', -0.0765), ('SEMIO_LUST', -0.0768), ('WOHNDAUER_2008', -0.0785), ('ANZ_PERSONEN', -0.099), ('CAMEO_WEALTH_Wealthy Households', -0.102), ('GEBAEUDETYP_RASTER', -0.105), ('ALTERSKATEGORIE_GROB', -0.1051), ('FINANZ_VORSORGER', -0.1063), ('BALLRAUM', -0.1128), ('CAMEO_WEALTH_Prosperous Households', -0.1133), ('GREEN_AVANTGARDE', -0.1186), ('PJ_MOVEMENT_Avantgarde', -0.1186), ('LP_LEBENSPHASE_GROB', -0.1329), ('LP_LEBENSPHASE_FEIN', -0.1474), ('INNENSTADT', -0.1484), ('KONSUMNAEHE', -0.1496), ('PLZ8_GBZ', -0.1582), ('KBA05_GBZ', -0.1984), ('FINANZ_MINIMALIST', -0.2008), ('KBA05_ANTG1', -0.208), ('PLZ8_ANTG1', -0.208), ('MOBI_REGIO', -0.2225)]

# Map weights for the second principal component to corresponding feature names
# and then print the linked values, sorted by weight.
print(get_pcomp_map(pca, 1))

[('ALTERSKATEGORIE_GROB', 0.2385), ('FINANZ_VORSORGER', 0.221), ('SEMIO_ERL', 0.1956), ('SEMIO_LUST', 0.166), ('RETOURTYP_BK_S', 0.1654), ('W_KEIT_KIND_HH', 0.1367), ('PJ_DECADE_50.0', 0.1201), ('PJ_DECADE_60.0', 0.1132), ('FINANZ_HAUSBAUER', 0.1131), ('SEMIO_KRIT', 0.0901), ('PLZ8_ANTG3', 0.082), ('PJ_DECADE_40.0', 0.0813), ('PLZ8_ANTG4', 0.0785), ('PLZ8_BAUMAX', 0.0745), ('ORTSGR_KLS9', 0.0743), ('FINANZ_MINIMALIST', 0.0734), ('EWDICHTE', 0.0733), ('SEMIO_KAEM', 0.0727), ('ARBEIT', 0.063), ('PJ_DECADE_70.0', 0.0603), ('WOHNDAUER_2008', 0.0574), ('KBA05_ANTG4', 0.0568), ('RELAT_AB', 0.0538), ('CAMEO_WEALTH_Poorer Households', 0.0526), ('PLZ8_ANTG2', 0.0523), ('ANZ_HAUSHALTE_AKTIV', 0.052), ('ANREDE_KZ', 0.0518), ('KBA05_ANTG3', 0.0452), ('OST_WEST_KZ_O', 0.0415), ('HH_EINKOMMEN_SCORE', 0.0391), ('CAMEO_TYPE_Elders In Retirement', 0.0388), ('SEMIO_DOM', 0.0383), ('CAMEO_TYPE_Pre-Family Couples & Singles', 0.0307), ('ANZ_HH_TITEL', 0.0241), ('CAMEO_WEALTH_Less Affluent Households', 0.0169), ('REGIOTYP', 0.0157), ('VERS_TYP', 0.0129), ('PJ_MOVEMENT_Mainstream', 0.0098), ('PLZ8_HHZ', 0.009), ('ANZ_TITEL', 0.0072), ('KKK', 0.0018), ('SOHO_KZ', -0.0022), ('KBA05_ANTG2', -0.0043), ('CAMEO_WEALTH_Comfortable Households', -0.0051), ('GREEN_AVANTGARDE', -0.0098), ('PJ_MOVEMENT_Avantgarde', -0.0098), ('PJ_DECADE_80.0', -0.0137), ('CAMEO_TYPE_Older Families & Mature Couples', -0.0161), ('MIN_GEBAEUDEJAHR', -0.0218), ('CAMEO_WEALTH_Wealthy Households', -0.0254), ('CAMEO_TYPE_Families With School Age Children', -0.0273), ('KBA13_ANZAHL_PKW', -0.0325), ('SEMIO_VERT', -0.033), ('GEBAEUDETYP_RASTER', -0.035), ('CAMEO_TYPE_Young Couples With Children', -0.0372), ('OST_WEST_KZ_W', -0.0415), ('WOHNLAGE', -0.0434), ('HEALTH_TYP', -0.0452), ('BALLRAUM', -0.0464), ('CAMEO_WEALTH_Prosperous Households', -0.0479), ('KONSUMNAEHE', -0.0565), ('LP_LEBENSPHASE_FEIN', -0.0572), ('INNENSTADT', -0.0616), ('LP_LEBENSPHASE_GROB', -0.0648), ('PLZ8_GBZ', -0.0651), ('SEMIO_SOZ', -0.0728), ('KBA05_ANTG1', -0.0735), ('KBA05_GBZ', -0.0764), ('MOBI_REGIO', -0.0782), ('ANZ_PERSONEN', -0.0789), ('PLZ8_ANTG1', -0.0822), ('SEMIO_MAT', -0.1322), ('SEMIO_FAM', -0.1407), ('ONLINE_AFFINITAET', -0.1605), ('SEMIO_RAT', -0.166), ('SEMIO_KULT', -0.1771), ('FINANZ_ANLEGER', -0.2023), ('SEMIO_TRADV', -0.208), ('SEMIO_PFLICHT', -0.2174), ('FINANZ_UNAUFFAELLIGER', -0.221), ('PJ_DECADE_90.0', -0.2212), ('SEMIO_REL', -0.2276), ('FINANZ_SPARER', -0.2313), ('ALTER_HH', -0.2355), ('GEBURTSJAHR', -0.2557)]

# Map weights for the third principal component to corresponding feature names
# and then print the linked values, sorted by weight.
print(get_pcomp_map(pca, 2))

[('SEMIO_VERT', 0.3452), ('SEMIO_SOZ', 0.2764), ('SEMIO_FAM', 0.2755), ('SEMIO_KULT', 0.262), ('FINANZ_MINIMALIST', 0.1507), ('SEMIO_REL', 0.1213), ('RETOURTYP_BK_S', 0.1026), ('W_KEIT_KIND_HH', 0.0762), ('SEMIO_MAT', 0.0734), ('FINANZ_VORSORGER', 0.0693), ('GREEN_AVANTGARDE', 0.0601), ('PJ_MOVEMENT_Avantgarde', 0.0601), ('PJ_DECADE_60.0', 0.0377), ('SEMIO_LUST', 0.0373), ('EWDICHTE', 0.0367), ('PLZ8_BAUMAX', 0.0366), ('ORTSGR_KLS9', 0.0366), ('WOHNDAUER_2008', 0.0365), ('PJ_DECADE_50.0', 0.0349), ('PLZ8_ANTG4', 0.0343), ('PLZ8_ANTG3', 0.0327), ('ALTERSKATEGORIE_GROB', 0.0301), ('VERS_TYP', 0.0269), ('ARBEIT', 0.023), ('PLZ8_ANTG2', 0.022), ('RELAT_AB', 0.0215), ('KBA05_ANTG4', 0.0209), ('CAMEO_TYPE_Pre-Family Couples & Singles', 0.0205), ('ANZ_HAUSHALTE_AKTIV', 0.0198), ('PJ_DECADE_40.0', 0.0191), ('CAMEO_WEALTH_Poorer Households', 0.0171), ('PJ_DECADE_70.0', 0.0126), ('ANZ_HH_TITEL', 0.0121), ('ANZ_TITEL', 0.0085), ('OST_WEST_KZ_O', 0.0075), ('CAMEO_WEALTH_Wealthy Households', 0.0071), ('PLZ8_HHZ', 0.007), ('CAMEO_TYPE_Elders In Retirement', 0.007), ('PJ_DECADE_80.0', 0.0069), ('HEALTH_TYP', 0.0025), ('LP_LEBENSPHASE_FEIN', 0.0013), ('SOHO_KZ', 0.001), ('KBA05_ANTG3', 0.0001), ('CAMEO_WEALTH_Less Affluent Households', -0.0013), ('ANZ_PERSONEN', -0.0014), ('LP_LEBENSPHASE_GROB', -0.0016), ('CAMEO_WEALTH_Comfortable Households', -0.0018), ('CAMEO_TYPE_Older Families & Mature Couples', -0.0063), ('MIN_GEBAEUDEJAHR', -0.0071), ('OST_WEST_KZ_W', -0.0075), ('KBA05_ANTG2', -0.01), ('REGIOTYP', -0.0113), ('KBA05_ANTG1', -0.0118), ('CAMEO_TYPE_Families With School Age Children', -0.0133), ('CAMEO_TYPE_Young Couples With Children', -0.0148), ('KBA13_ANZAHL_PKW', -0.015), ('KBA05_GBZ', -0.0161), ('MOBI_REGIO', -0.0184), ('WOHNLAGE', -0.019), ('CAMEO_WEALTH_Prosperous Households', -0.0213), ('KKK', -0.0215), ('PLZ8_GBZ', -0.026), ('GEBAEUDETYP_RASTER', -0.0263), ('BALLRAUM', -0.0279), ('SEMIO_PFLICHT', -0.0288), ('KONSUMNAEHE', -0.0309), ('PLZ8_ANTG1', -0.0322), ('INNENSTADT', -0.0339), ('HH_EINKOMMEN_SCORE', -0.0348), ('SEMIO_TRADV', -0.0402), ('ONLINE_AFFINITAET', -0.0473), ('PJ_MOVEMENT_Mainstream', -0.0601), ('ALTER_HH', -0.0617), ('FINANZ_UNAUFFAELLIGER', -0.0657), ('FINANZ_HAUSBAUER', -0.0668), ('PJ_DECADE_90.0', -0.071), ('FINANZ_SPARER', -0.0726), ('GEBURTSJAHR', -0.0742), ('FINANZ_ANLEGER', -0.1661), ('SEMIO_RAT', -0.1785), ('SEMIO_ERL', -0.2066), ('SEMIO_KRIT', -0.2761), ('SEMIO_DOM', -0.309), ('SEMIO_KAEM', -0.3404), ('ANREDE_KZ', -0.3682)]

Discussion 2.3: Interpret Principal Components¶

(Double-click this cell and replace this text with your own text, reporting your observations from detailed investigation of the first few principal components generated. Can we interpret positive and negative values from them in a meaningful way?)

Yes. At a glance, the first component shows a correlation between multi-family houses in an area, income, and marital status. The second component shows a correlation between estimated age, financial interest, and certain personality traits. The third component groups together certain personality dimensions and also correlates them to low financial interest.

Step 3: Clustering¶

Step 3.1: Apply Clustering to General Population¶

You've assessed and cleaned the demographics data, then scaled and transformed them. Now, it's time to see how the data clusters in the principal components space. In this substep, you will apply k-means clustering to the dataset and use the average within-cluster distances from each point to their assigned cluster's centroid to decide on a number of clusters to keep.

Use sklearn's KMeans class to perform k-means clustering on the PCA-transformed data.
Then, compute the average difference from each point to its assigned cluster's center. Hint: The KMeans object's .score() method might be useful here, but note that in sklearn, scores tend to be defined so that larger is better. Try applying it to a small, toy dataset, or use an internet search to help your understanding.
Perform the above two steps for a number of different cluster counts. You can then see how the average distance decreases with an increasing number of clusters. However, each additional cluster provides a smaller net benefit. Use this fact to select a final number of clusters in which to group the data. Warning: because of the large size of the dataset, it can take a long time for the algorithm to resolve. The more clusters to fit, the longer the algorithm will take. You should test for cluster counts through at least 10 clusters to get the full picture, but you shouldn't need to test for a number of clusters above about 30.
Once you've selected a final number of clusters to use, re-fit a KMeans instance to perform the clustering operation. Make sure that you also obtain the cluster assignments for the general demographics data, since you'll be using them in the final Step 3.3.

# Over a number of different cluster counts...
# run k-means clustering on the data and...
# compute the average within-cluster distances.
from sklearn.datasets import make_blobs
from sklearn.cluster import KMeans

# X, y = make_blobs()
# plt.scatter(kmeans.cluster_centers_[:,0], kmeans.cluster_centers_[:,1], 
    #                 marker='+', 
    #                 c='black', 
    #                 s=200);
    # plt.scatter(X[:,0], X[:,1]);

def avg_center_dist(distances):
    length = len(distances)
    total_distance = 0
    for dist_vect in distances:
        total_distance += np.min(dist_vect)
    return total_distance / length
    
cluster_count = []
min_dist_vect = []
for n in range (2, 31):
    kmeans = KMeans(n_clusters=n).fit(df2)
    distances = kmeans.transform(df2)
    avg_dist = avg_center_dist(distances)
    cluster_count.append(n)
    min_dist_vect.append(avg_dist)
    print('Average distance to center for ' + str(n) + ' clusters is ' + str(avg_dist))

Average distance to center for 2 clusters is 7.25211689263
Average distance to center for 3 clusters is 6.92080495358
Average distance to center for 4 clusters is 6.68099060933
Average distance to center for 5 clusters is 6.52382544217
Average distance to center for 6 clusters is 6.38499432113
Average distance to center for 7 clusters is 6.27502490711
Average distance to center for 8 clusters is 6.17061241369
Average distance to center for 9 clusters is 6.0982144793
Average distance to center for 10 clusters is 6.07834176964
Average distance to center for 11 clusters is 5.97964986667
Average distance to center for 12 clusters is 5.93602823537
Average distance to center for 13 clusters is 5.89530627157
Average distance to center for 14 clusters is 5.86716285265
Average distance to center for 15 clusters is 5.8210821899
Average distance to center for 16 clusters is 5.78602469579
Average distance to center for 17 clusters is 5.74867409131
Average distance to center for 18 clusters is 5.72130595607
Average distance to center for 19 clusters is 5.68318166281
Average distance to center for 20 clusters is 5.65651676694
Average distance to center for 21 clusters is 5.63079637508
Average distance to center for 22 clusters is 5.61280581942
Average distance to center for 23 clusters is 5.57702995415
Average distance to center for 24 clusters is 5.54446254163
Average distance to center for 25 clusters is 5.52580576211
Average distance to center for 26 clusters is 5.49791373305
Average distance to center for 27 clusters is 5.47537244204
Average distance to center for 28 clusters is 5.45504832405
Average distance to center for 29 clusters is 5.43548648585
Average distance to center for 30 clusters is 5.42085240831

# Investigate the change in within-cluster distance across number of clusters.
# HINT: Use matplotlib's plot function to visualize this relationship.
plt.plot(cluster_count, min_dist_vect)
plt.xlabel('Cluster Count')
plt.ylabel('Average Distance to Center')
plt.show()

# Re-fit the k-means model with the selected number of clusters and obtain
# cluster predictions for the general population demographics data.
NUM_CLUSTERS = 12
genpop_labels = KMeans(n_clusters=NUM_CLUSTERS).fit_predict(df2)
print(genpop_labels)

[ 8 10  2 ..., 10  8  5]

Discussion 3.1: Apply Clustering to General Population¶

(Double-click this cell and replace this text with your own text, reporting your findings and decisions regarding clustering. Into how many clusters have you decided to segment the population?)

I used 12 clusters that is around the time where the rate of decrease to average distance becomes more linear.

Step 3.2: Apply All Steps to the Customer Data¶

Now that you have clusters and cluster centers for the general population, it's time to see how the customer data maps on to those clusters. Take care to not confuse this for re-fitting all of the models to the customer data. Instead, you're going to use the fits from the general population to clean, transform, and cluster the customer data. In the last step of the project, you will interpret how the general population fits apply to the customer data.

Don't forget when loading in the customers data, that it is semicolon (;) delimited.
Apply the same feature wrangling, selection, and engineering steps to the customer demographics using the clean_data() function you created earlier. (You can assume that the customer demographics data has similar meaning behind missing data patterns as the general demographics data.)
Use the sklearn objects from the general demographics data, and apply their transformations to the customers data. That is, you should not be using a .fit() or .fit_transform() method to re-fit the old objects, nor should you be creating new sklearn objects! Carry the data through the feature scaling, PCA, and clustering steps, obtaining cluster assignments for all of the data in the customer demographics data.

# Load in the customer demographics data.
customers = pd.read_csv('Udacity_CUSTOMERS_Subset.csv', delimiter=';')

# Apply preprocessing, feature transformation, and clustering from the general
# demographics onto the customer data, obtaining cluster predictions for the
# customer demographics data.
customers_clean = clean_data(customers)
customers_clean.head()

customers_ss = p.StandardScaler().fit_transform(customers_clean)
customers_clean_ss = pd.DataFrame(customers_ss, columns=customers_clean.keys())
customers_clean_ss.head()

NUM_COMPONENTS = 23
customer_pca = PCA(n_components=NUM_COMPONENTS)
customers_clean_ss_pca = pd.DataFrame(pca.fit_transform(customers_clean_ss))
customers_clean_ss_pca.head()

customer_labels = KMeans(n_clusters=NUM_CLUSTERS).fit_predict(customers_clean_ss_pca)
print(customer_labels)

[3 1 1 ..., 4 3 4]

Step 3.3: Compare Customer Data to Demographics Data¶

At this point, you have clustered data based on demographics of the general population of Germany, and seen how the customer data for a mail-order sales company maps onto those demographic clusters. In this final substep, you will compare the two cluster distributions to see where the strongest customer base for the company is.

Consider the proportion of persons in each cluster for the general population, and the proportions for the customers. If we think the company's customer base to be universal, then the cluster assignment proportions should be fairly similar between the two. If there are only particular segments of the population that are interested in the company's products, then we should see a mismatch from one to the other. If there is a higher proportion of persons in a cluster for the customer data compared to the general population (e.g. 5% of persons are assigned to a cluster for the general population, but 15% of the customer data is closest to that cluster's centroid) then that suggests the people in that cluster to be a target audience for the company. On the other hand, the proportion of the data in a cluster being larger in the general population than the customer data (e.g. only 2% of customers closest to a population centroid that captures 6% of the data) suggests that group of persons to be outside of the target demographics.

Take a look at the following points in this step:

Compute the proportion of data points in each cluster for the general population and the customer data. Visualizations will be useful here: both for the individual dataset proportions, but also to visualize the ratios in cluster representation between groups. Seaborn's countplot() or barplot() function could be handy.
- Recall the analysis you performed in step 1.1.3 of the project, where you separated out certain data points from the dataset if they had more than a specified threshold of missing values. If you found that this group was qualitatively different from the main bulk of the data, you should treat this as an additional data cluster in this analysis. Make sure that you account for the number of data points in this subset, for both the general population and customer datasets, when making your computations!
Which cluster or clusters are overrepresented in the customer dataset compared to the general population? Select at least one such cluster and infer what kind of people might be represented by that cluster. Use the principal component interpretations from step 2.3 or look at additional components to help you make this inference. Alternatively, you can use the .inverse_transform() method of the PCA and StandardScaler objects to transform centroids back to the original data space and interpret the retrieved values directly.
Perform a similar investigation for the underrepresented clusters. Which cluster or clusters are underrepresented in the customer dataset compared to the general population, and what kinds of people are typified by these clusters?

# Compare the proportion of data in each cluster for the customer data to the
# proportion of data in each cluster for the general population.
fig = plt.figure(figsize=(25, 5))
fig.add_subplot(121)
plt.title('General Population')
sns.countplot(x=genpop_labels);
fig.add_subplot(122)
plt.title('Customers')
sns.countplot(x=customer_labels);

# What kinds of people are part of a cluster that is overrepresented in the
# customer data compared to the general population?
customers_clean_ss_pca['LABELS'] = customer_labels
customers_clean_ss_pca.head()

cluster0 = customers_clean_ss_pca.loc[customers_clean_ss_pca['LABELS'] == 0]
print(cluster0.mean())

0        -3.344312
1         5.660161
2        -0.464327
3        -1.630932
4        -0.567293
5        -0.392655
6        -0.221754
7         0.129462
8         1.902277
9         1.195317
10        2.407926
11        0.951579
12        0.021804
13       -0.135070
14        0.058869
15       -0.641400
16       -0.153049
17        0.082107
18       -0.293318
19       -0.973725
20        0.146736
21        0.230478
22       -0.619167
LABELS    0.000000
dtype: float64

# What kinds of people are part of a cluster that is underrepresented in the
# customer data compared to the general population?
cluster3 = customers_clean_ss_pca.loc[customers_clean_ss_pca['LABELS'] == 3]
print(cluster3.mean())

0        -3.153697
1         5.595520
2         4.694793
3         2.842821
4        -2.159440
5         1.255337
6         0.158208
7         1.430470
8        -0.587901
9        -0.126311
10        0.170837
11        0.037132
12        0.317072
13       -0.197864
14       -0.175691
15       -0.284147
16       -0.252877
17        0.263622
18       -0.030810
19       -0.233030
20       -0.193452
21        0.266435
22        0.480539
LABELS    3.000000
dtype: float64

Discussion 3.3: Compare Customer Data to Demographics Data¶

(Double-click this cell and replace this text with your own text, reporting findings and conclusions from the clustering analysis. Can we describe segments of the population that are relatively popular with the mail-order company, or relatively unpopular with the company?)

Cluster 0 is overrepresented in the customer data and has high weights on principal component 1. From getting the mappings on PC1 earlier, the customer data set overrepresents people who are older and more financially cautious. They are more sensual-minded, event-oriented, and unlikely to return products they shop for, among other traits.

Cluster 3 is underrepresented in the customer data and has high weights on principal components 1 and 2. From getting mappings on PC2 earlier, the customer data set underrepresents people who are dreamful, socially-minded, family-minded, cultural-minded, and not interested in money.

Congratulations on making it this far in the project! Before you finish, make sure to check through the entire notebook from top to bottom to make sure that your analysis follows a logical flow and all of your findings are documented in Discussion cells. Once you've checked over all of your work, you should export the notebook as an HTML document to submit for evaluation. You can do this from the menu, navigating to File -> Download as -> HTML (.html). You will submit both that document and this notebook for your project submission.

	ALTERSKATEGORIE_GROB	ANREDE_KZ	FINANZ_MINIMALIST	FINANZ_SPARER	FINANZ_VORSORGER	FINANZ_ANLEGER	FINANZ_UNAUFFAELLIGER	FINANZ_HAUSBAUER	GEBURTSJAHR	GREEN_AVANTGARDE	...	CAMEO_WEALTH_Comfortable Households	CAMEO_WEALTH_Less Affluent Households	CAMEO_WEALTH_Poorer Households	CAMEO_WEALTH_Prosperous Households	CAMEO_WEALTH_Wealthy Households	CAMEO_TYPE_Elders In Retirement	CAMEO_TYPE_Families With School Age Children	CAMEO_TYPE_Older Families & Mature Couples	CAMEO_TYPE_Pre-Family Couples & Singles	CAMEO_TYPE_Young Couples With Children
0	0.236177	0.969687	-1.532656	0.865979	-1.664399	-0.570630	0.275419	1.394003	0.718960	1.751307	...	-0.299215	-0.567899	-0.627460	1.775474	-0.415694	-0.417185	-0.414371	1.520845	-0.664298	-0.321893
1	0.236177	-1.031260	0.675362	0.184672	0.447207	-1.270785	0.275419	-0.791390	-0.199878	-0.571002	...	-0.299215	1.760877	-0.627460	-0.563230	-0.415694	-0.417185	2.413294	-0.657529	-0.664298	-0.321893
2	-1.727563	0.969687	-0.060644	-1.177943	1.151076	-0.570630	-0.443890	1.394003	-1.348426	-0.571002	...	-0.299215	-0.567899	1.593726	-0.563230	-0.415694	-0.417185	-0.414371	1.520845	-0.664298	-0.321893
3	-1.727563	-1.031260	-0.060644	0.184672	0.447207	-1.270785	0.275419	-0.791390	-0.142451	-0.571002	...	-0.299215	-0.567899	-0.627460	-0.563230	2.405617	-0.417185	-0.414371	1.520845	-0.664298	-0.321893
4	0.236177	-1.031260	0.675362	0.865979	-0.960531	0.829680	-0.443890	-0.791390	0.431823	1.751307	...	-0.299215	-0.567899	-0.627460	-0.563230	2.405617	-0.417185	2.413294	-0.657529	-0.664298	-0.321893

	ALTERSKATEGORIE_GROB	ANREDE_KZ	FINANZ_MINIMALIST	FINANZ_SPARER	FINANZ_VORSORGER	FINANZ_ANLEGER	FINANZ_UNAUFFAELLIGER	FINANZ_HAUSBAUER	GEBURTSJAHR	GREEN_AVANTGARDE	...	CAMEO_WEALTH_Comfortable Households	CAMEO_WEALTH_Less Affluent Households	CAMEO_WEALTH_Poorer Households	CAMEO_WEALTH_Prosperous Households	CAMEO_WEALTH_Wealthy Households	CAMEO_TYPE_Elders In Retirement	CAMEO_TYPE_Families With School Age Children	CAMEO_TYPE_Older Families & Mature Couples	CAMEO_TYPE_Pre-Family Couples & Singles	CAMEO_TYPE_Young Couples With Children
0	-0.869258	-0.260186	-3.059271	2.339833	-2.613905	1.302934	0.228980	-1.979490	0.349667	-1.504241	...	-0.106585	-0.037192	-0.106976	-0.002960	0.045968	2.718721e-10	1.134197e-11	-7.290919e-14	-3.351154e-15	-5.906051e-17
1	-0.036461	0.134823	3.034619	0.920318	2.353193	-3.456116	-2.589419	-0.927112	-1.964546	1.734894	...	-0.597508	0.348240	-0.177008	0.000398	0.004665	1.500360e-11	9.100246e-12	-4.157336e-14	-3.247591e-15	-2.955232e-16
2	-0.731801	-0.291388	-0.573832	-2.974743	-3.534381	-0.166184	0.012986	3.825525	0.108776	-2.374652	...	0.043198	0.339654	-0.121474	-0.008115	-0.012617	-9.158491e-11	4.775681e-11	-3.348579e-13	-6.541332e-15	-4.477095e-17
3	-0.833821	-1.938177	4.121804	0.281630	-3.313090	1.009881	-0.037603	2.355937	0.465349	-0.474503	...	-0.340329	-0.188771	-0.082596	-0.004938	0.096690	1.661951e-10	1.764152e-12	-6.344126e-14	-1.842506e-15	1.050300e-16
4	-1.813485	0.041393	1.503217	2.843264	-1.305017	1.458747	0.115521	-2.034112	1.032853	2.709709	...	-0.365151	-0.207455	-0.213150	-0.015037	0.039060	-2.089460e-11	-9.532135e-12	7.259670e-14	-1.080652e-15	-4.454343e-17

	Explained Variance	ALTERSKATEGORIE_GROB	ANREDE_KZ	FINANZ_MINIMALIST	FINANZ_SPARER	FINANZ_VORSORGER	FINANZ_ANLEGER	FINANZ_UNAUFFAELLIGER	FINANZ_HAUSBAUER	GEBURTSJAHR	...	CAMEO_WEALTH_Comfortable Households	CAMEO_WEALTH_Less Affluent Households	CAMEO_WEALTH_Poorer Households	CAMEO_WEALTH_Prosperous Households	CAMEO_WEALTH_Wealthy Households	CAMEO_TYPE_Elders In Retirement	CAMEO_TYPE_Families With School Age Children	CAMEO_TYPE_Older Families & Mature Couples	CAMEO_TYPE_Pre-Family Couples & Singles	CAMEO_TYPE_Young Couples With Children
Dimension 1	0.1534	-0.1051	0.0029	-0.2008	0.1269	-0.1063	0.0528	0.0612	0.1486	0.0937	...	-0.0100	0.0378	0.1584	-0.1133	-0.1020	-0.0220	-0.0546	-0.0687	0.1504	-0.0358
Dimension 2	0.1194	0.2385	0.0518	0.0734	-0.2313	0.2210	-0.2023	-0.2210	0.1131	-0.2557	...	-0.0051	0.0169	0.0526	-0.0479	-0.0254	0.0388	-0.0273	-0.0161	0.0307	-0.0372
Dimension 3	0.0745	0.0301	-0.3682	0.1507	-0.0726	0.0693	-0.1661	-0.0657	-0.0668	-0.0742	...	-0.0018	-0.0013	0.0171	-0.0213	0.0071	0.0070	-0.0133	-0.0063	0.0205	-0.0148
Dimension 4	0.0530	-0.0256	0.0483	0.0315	0.0056	-0.0087	-0.1007	0.0716	-0.0744	0.0360	...	0.0200	-0.0193	-0.0456	-0.0526	0.1316	0.0033	-0.0306	0.0600	-0.0113	-0.0409
Dimension 5	0.0359	0.0484	-0.0024	0.0552	-0.0027	-0.0330	0.0976	-0.0999	-0.0334	0.0228	...	-0.0083	-0.0412	0.0764	0.0019	-0.0450	0.0321	-0.0215	-0.0453	0.0143	0.0332
Dimension 6	0.0292	-0.0623	0.0431	0.0123	-0.0090	-0.1048	0.0221	-0.0313	0.0797	-0.0217	...	0.0053	-0.0299	-0.0723	0.0024	0.1170	0.1271	-0.0258	0.0730	-0.0926	-0.0969
Dimension 7	0.0253	0.0513	0.0054	-0.0841	0.0387	-0.0517	0.0471	0.0066	0.1147	0.0238	...	0.0206	-0.0132	-0.0248	-0.0165	0.0523	0.0280	-0.0345	0.0107	-0.0194	0.0225
Dimension 8	0.0240	-0.2046	0.1007	0.1015	-0.2070	0.2117	-0.1377	-0.2370	0.0302	-0.1844	...	0.0021	-0.0203	0.0060	0.0097	0.0039	0.0185	-0.0116	0.0141	-0.0251	0.0093
Dimension 9	0.0231	-0.0308	-0.0149	0.0395	-0.0002	0.0360	-0.0328	0.0193	-0.1341	0.0146	...	0.0121	-0.3066	0.0962	0.1616	0.0456	-0.0621	-0.1898	0.1606	-0.0615	0.1511
Dimension 10	0.0212	0.0071	-0.0094	0.0472	-0.0070	0.0123	-0.0399	0.0005	-0.1222	0.0222	...	0.0663	0.4545	-0.2386	-0.2259	-0.0268	-0.0839	0.3633	-0.3287	0.1773	-0.1017
Dimension 11	0.0206	0.0217	0.0640	-0.1128	0.0090	0.0456	-0.0477	0.1331	0.2134	-0.0574	...	0.0207	0.0356	-0.0165	-0.0188	-0.0135	0.0650	0.0445	-0.0963	-0.0152	0.0449
Dimension 12	0.0189	-0.0541	0.0092	0.0453	-0.0095	-0.0187	0.0468	-0.0101	-0.0215	-0.0237	...	-0.1362	0.2269	-0.0932	-0.0991	0.0682	0.1593	0.2004	-0.2298	0.0007	-0.0769
Dimension 13	0.0168	-0.0642	-0.0439	-0.0544	-0.0252	0.0363	-0.1046	-0.0013	0.1532	-0.0077	...	-0.0445	0.1202	-0.2171	0.0430	0.1138	0.0272	0.1181	0.2758	-0.2293	-0.2468
Dimension 14	0.0155	-0.0290	-0.0155	-0.0178	0.0080	-0.0068	-0.0154	0.0169	-0.0025	-0.0136	...	0.2005	0.0563	-0.2074	0.3735	-0.4098	0.5453	-0.0749	-0.2711	-0.2241	0.2084
Dimension 15	0.0149	-0.1341	0.0015	-0.0426	-0.0446	0.0930	-0.0155	-0.0493	0.1814	-0.0210	...	0.1433	-0.0989	0.1553	-0.2575	0.1211	-0.0194	0.0441	-0.2302	0.0569	0.2411
Dimension 16	0.0146	0.0288	-0.0034	-0.0495	0.0408	-0.0147	0.0796	-0.0064	-0.0217	-0.0076	...	-0.0527	0.0008	0.0938	-0.1251	0.0717	-0.0654	0.0901	0.1199	-0.0610	-0.1221
Dimension 17	0.0143	-0.0388	0.0146	0.0863	-0.0261	-0.0129	-0.0115	0.0053	-0.0479	-0.0425	...	0.1832	-0.0823	0.0377	-0.0184	-0.0691	-0.0342	-0.1081	-0.1380	0.1559	0.1422
Dimension 18	0.0141	-0.0172	0.0016	0.0325	-0.0328	0.0150	-0.0082	-0.0075	0.0524	0.0335	...	-0.0781	0.0578	-0.0605	0.1932	-0.1658	-0.1061	-0.0730	0.1731	0.0759	-0.1747
Dimension 19	0.0136	-0.0244	-0.0011	0.0061	0.0242	-0.0477	0.0240	0.0449	-0.0264	-0.0557	...	0.3538	-0.1438	-0.0609	-0.2320	0.2576	-0.0187	0.0883	0.0612	-0.1292	0.0240
Dimension 20	0.0134	0.0982	-0.0224	0.0055	-0.0052	-0.0108	-0.0380	-0.0098	-0.0350	0.0817	...	0.4986	-0.1469	-0.0554	-0.1914	0.0917	-0.0173	0.0688	-0.0964	-0.0901	0.2304
Dimension 21	0.0126	0.0017	0.0092	-0.0189	-0.0143	0.0279	0.0437	-0.0390	-0.0031	0.0435	...	-0.2066	0.0011	-0.0279	0.0071	0.1860	0.2621	0.0074	-0.0663	-0.1180	-0.0372
Dimension 22	0.0125	0.0156	-0.0028	-0.0041	-0.0268	0.0413	-0.0236	-0.0437	0.0309	0.0573	...	0.0114	0.0337	-0.0507	0.0855	-0.0888	-0.0827	0.0418	-0.0277	-0.0136	0.1148
Dimension 23	0.0122	0.0308	-0.0230	0.0631	0.0022	-0.0284	-0.0569	0.0407	-0.0938	0.0328	...	-0.2615	-0.1154	0.2177	-0.1941	0.3000	0.4808	-0.2719	-0.2397	0.1753	-0.1560
Dimension 24	0.0118	-0.0029	0.0011	0.0018	-0.0032	0.0031	0.0008	-0.0035	-0.0018	0.0056	...	0.0081	0.0078	0.0021	-0.0229	0.0097	0.0540	-0.0618	-0.0005	0.0462	-0.0626
Dimension 25	0.0116	0.0328	-0.0141	0.0069	0.0197	-0.0318	-0.0514	0.0482	-0.0507	-0.0112	...	-0.5016	-0.0015	0.0550	0.1622	0.1245	-0.2026	0.2296	-0.1651	-0.1609	0.4822
Dimension 26	0.0113	-0.0230	0.0174	0.0771	-0.0475	0.0437	-0.0137	0.0296	-0.1202	-0.0008	...	0.0840	-0.1051	-0.0251	0.0184	0.0725	0.1625	0.3025	0.1494	-0.3588	-0.2320
Dimension 27	0.0108	0.0067	0.0015	-0.0139	0.0220	-0.0190	-0.0525	0.0880	-0.0913	-0.0053	...	0.1184	0.0883	-0.0473	-0.0193	-0.1168	0.0532	-0.2646	0.0431	0.2714	-0.2424
Dimension 28	0.0102	-0.0347	0.0112	0.0353	-0.0865	0.1328	-0.0718	-0.1090	0.0532	-0.1163	...	-0.0345	0.0921	0.0071	-0.0339	-0.0528	-0.1283	-0.1253	0.0135	0.1375	0.0698
Dimension 29	0.0101	-0.0016	-0.0053	-0.0693	-0.0010	0.0410	0.0223	-0.0404	0.0562	0.0022	...	-0.0236	-0.1628	0.1394	-0.0381	0.0837	0.1497	0.1613	-0.0662	-0.1398	-0.0538
Dimension 30	0.0092	-0.0348	0.0186	-0.0079	-0.0237	0.0429	0.0256	-0.0067	-0.0013	-0.0006	...	-0.0746	0.1592	-0.1824	-0.1065	0.2264	0.0812	-0.2455	0.0925	-0.0880	0.1938
...	...	...	...	...	...	...	...	...	...	...	...	...	...	...	...	...	...	...	...	...	...
Dimension 56	0.0027	0.0263	-0.0237	0.0389	0.0045	0.0863	0.0346	-0.0362	0.1113	0.0452	...	-0.0132	0.0420	0.0941	-0.0576	-0.0921	0.0227	0.0170	0.0306	-0.0617	-0.0008
Dimension 57	0.0026	0.0447	-0.0455	0.0232	0.1133	-0.0136	0.0621	-0.3924	-0.0947	0.0049	...	0.0059	0.0063	-0.0287	0.0107	0.0113	0.0074	-0.0088	0.0105	-0.0065	-0.0048
Dimension 58	0.0025	-0.0843	0.0753	0.0437	-0.0455	0.0982	0.0868	0.2230	-0.0564	-0.0236	...	0.0070	-0.0184	-0.0561	0.0344	0.0474	-0.0019	0.0011	-0.0216	0.0222	0.0009
Dimension 59	0.0024	0.1373	-0.1325	-0.1200	0.1971	0.0403	0.0119	-0.3217	-0.0174	0.0479	...	0.0056	-0.0067	-0.0103	0.0095	0.0050	-0.0028	0.0031	-0.0019	-0.0041	0.0084
Dimension 60	0.0023	-0.0281	0.0323	-0.0076	-0.0267	-0.0183	0.0648	0.1112	-0.0620	-0.0535	...	0.0046	-0.0140	-0.0199	0.0159	0.0161	-0.0112	-0.0039	-0.0083	0.0127	0.0074
Dimension 61	0.0022	-0.0008	0.0219	-0.0843	0.0809	-0.0189	0.2781	0.0852	-0.1815	-0.0855	...	0.0001	0.0011	0.0037	-0.0038	-0.0018	-0.0040	-0.0026	0.0060	-0.0055	0.0071
Dimension 62	0.0022	-0.1080	0.0241	0.0025	0.0459	-0.0150	0.0617	-0.0806	-0.0801	-0.0193	...	0.0009	-0.0005	0.0007	-0.0020	0.0016	-0.0021	0.0018	0.0025	-0.0047	0.0040
Dimension 63	0.0020	0.0865	-0.0770	-0.0712	0.0552	-0.0515	0.0004	0.2299	0.0074	-0.0342	...	-0.0008	-0.0007	-0.0038	-0.0012	0.0075	0.0067	-0.0014	-0.0018	0.0024	-0.0077
Dimension 64	0.0020	-0.0275	0.0146	0.0039	0.0234	0.0432	0.0394	-0.1035	-0.0151	0.0451	...	-0.0060	-0.0102	0.0073	0.0000	0.0081	-0.0030	-0.0021	-0.0055	0.0072	0.0040
Dimension 65	0.0019	-0.0101	-0.0029	-0.2549	0.1719	-0.1796	-0.2686	-0.1714	-0.0093	0.0420	...	-0.0030	0.0041	0.0129	-0.0051	-0.0151	-0.0028	-0.0003	0.0019	0.0069	-0.0128
Dimension 66	0.0018	-0.0216	0.0379	0.0519	-0.0595	0.1259	0.1453	0.0484	-0.0687	-0.0290	...	0.0044	-0.0031	-0.0059	0.0021	0.0042	-0.0074	-0.0055	-0.0047	0.0195	-0.0089
Dimension 67	0.0017	0.0750	-0.0710	0.2491	-0.1162	0.1816	0.3131	0.2257	-0.0020	-0.0100	...	-0.0022	-0.0018	-0.0153	0.0057	0.0149	0.0003	-0.0044	0.0015	0.0032	-0.0044
Dimension 68	0.0017	0.1227	-0.1287	0.0293	-0.0268	0.0907	0.1079	0.1135	-0.0220	-0.0135	...	0.0038	-0.0005	0.0015	-0.0006	-0.0027	-0.0074	-0.0007	0.0011	0.0063	-0.0009
Dimension 69	0.0016	0.0544	-0.0489	-0.0461	0.0121	-0.0987	-0.1247	-0.0258	0.0660	-0.0002	...	0.0070	-0.0063	-0.0144	0.0145	0.0044	-0.0108	0.0032	-0.0092	0.0074	0.0137
Dimension 70	0.0014	-0.0416	0.0028	0.5619	-0.2191	-0.1008	0.0929	-0.1616	0.3124	0.3202	...	-0.0002	-0.0009	-0.0133	0.0019	0.0142	-0.0037	-0.0041	-0.0007	0.0025	0.0047
Dimension 71	0.0014	-0.0153	0.0053	0.0349	-0.0156	0.0200	-0.0285	-0.0249	0.0202	0.0616	...	0.0003	-0.0056	-0.0092	0.0074	0.0095	-0.0069	-0.0022	-0.0049	0.0121	-0.0004
Dimension 72	0.0012	-0.0353	0.0973	0.0287	-0.1803	-0.4257	0.1887	-0.0736	0.1842	-0.2204	...	-0.0064	0.0036	0.0118	-0.0060	-0.0083	0.0037	-0.0005	0.0018	-0.0044	-0.0010
Dimension 73	0.0012	0.2386	-0.1248	0.0697	-0.0358	-0.5144	0.1367	-0.0033	0.2732	-0.3152	...	-0.0004	0.0044	0.0092	-0.0048	-0.0092	0.0084	0.0020	0.0024	-0.0107	0.0025
Dimension 74	0.0010	0.5061	-0.1381	0.2790	0.4772	0.1795	-0.1258	0.1100	0.1389	0.0100	...	0.0002	0.0026	-0.0047	-0.0058	0.0076	0.0133	-0.0048	0.0032	-0.0094	-0.0031
Dimension 75	0.0010	-0.2774	0.0894	0.1305	0.3263	-0.0187	-0.0670	0.0097	0.0924	-0.0777	...	-0.0016	-0.0042	-0.0074	0.0029	0.0079	-0.0002	-0.0012	-0.0016	-0.0014	0.0012
Dimension 76	0.0009	0.3809	-0.1268	-0.3394	-0.4996	0.0173	0.0711	-0.0482	-0.1963	0.1033	...	-0.0032	-0.0043	0.0007	0.0015	0.0019	-0.0014	-0.0012	-0.0064	0.0062	-0.0004
Dimension 77	0.0005	0.3692	0.8095	0.0270	0.0360	0.0342	-0.0285	0.0003	-0.0132	-0.0302	...	0.0009	0.0014	-0.0017	-0.0012	0.0007	0.0025	-0.0015	0.0014	-0.0026	0.0002
Dimension 78	0.0004	-0.0688	-0.0654	-0.0197	0.0705	0.2247	0.0941	0.0394	0.0220	-0.7125	...	0.0001	0.0005	0.0023	-0.0011	-0.0015	0.0019	0.0009	0.0004	-0.0027	0.0014
Dimension 79	0.0001	-0.0003	-0.0004	-0.0013	-0.0003	0.0001	-0.0001	0.0001	0.0005	-0.0017	...	-0.2205	-0.3446	-0.3614	-0.3422	-0.2843	-0.2892	-0.2877	-0.3735	-0.3754	-0.2378
Dimension 80	0.0001	-0.0010	0.0017	0.0116	0.0025	0.0134	0.0041	0.0031	-0.0009	0.0322	...	-0.0044	-0.0070	-0.0105	-0.0085	-0.0076	-0.0065	-0.0068	-0.0084	-0.0118	-0.0042
Dimension 81	0.0000	-0.0000	0.0000	0.0000	0.0000	-0.0000	0.0000	-0.0000	-0.0000	-0.0000	...	-0.0383	-0.0599	-0.0628	-0.0597	-0.0495	0.0496	0.0494	0.0641	0.0643	0.0407
Dimension 82	0.0000	0.0000	-0.0000	-0.0000	0.0000	-0.0000	-0.0000	-0.0000	-0.0000	-0.0000	...	0.2186	0.3419	0.3584	0.3404	0.2822	-0.2829	-0.2816	-0.3655	-0.3669	-0.2322
Dimension 83	0.0000	-0.0000	-0.0000	-0.0000	-0.0000	-0.0000	0.0000	-0.0000	0.0000	-0.0000	...	-0.0016	-0.0025	-0.0026	-0.0025	-0.0020	0.0020	0.0020	0.0026	0.0026	0.0017
Dimension 84	0.0000	-0.0000	0.0000	0.0000	-0.0000	-0.0000	0.0000	-0.0000	0.0000	0.0000	...	-0.0000	-0.0000	-0.0000	-0.0000	-0.0000	0.0000	0.0000	0.0000	0.0000	0.0000
Dimension 85	0.0000	0.0000	-0.0000	0.0000	0.0000	0.0000	-0.0000	0.0000	0.0000	0.0000	...	0.0000	0.0000	0.0000	0.0000	0.0000	-0.0000	-0.0000	-0.0000	-0.0000	-0.0000

	0	1	2	3	4	5	6	7	8	9	...	13	14	15	16	17	18	19	20	21	22
0	-0.869248	-0.260159	-3.059186	2.339648	-2.617327	1.303984	0.243805	-1.960455	0.374272	-1.533848	...	0.640741	-0.269473	0.591229	-1.476318	-0.314079	0.710980	-0.622406	0.453418	0.029882	-1.719801
1	-0.036451	0.134844	3.034583	0.920380	2.351528	-3.454010	-2.582787	-0.918903	-1.948942	1.715945	...	0.418533	-0.223749	0.518324	0.136544	-1.148072	-0.251606	0.308230	0.215274	-0.041506	-0.724276
2	-0.731800	-0.291362	-0.573910	-2.974534	-3.533708	-0.166496	0.017735	3.826594	0.136298	-2.364619	...	-0.992622	2.086346	0.405794	0.835154	0.615352	-1.808746	-2.896862	0.277711	-1.786269	0.050298
3	-0.833817	-1.938132	4.121895	0.280740	-3.310096	1.008375	-0.036188	2.355447	0.447538	-0.501958	...	-1.949054	-1.689133	0.222661	0.885653	-2.053711	-0.592951	1.081657	0.113266	0.286258	0.686058
4	-1.813477	0.041414	1.503227	2.842564	-1.301361	1.459635	0.104887	-2.045817	0.993279	2.698121	...	-0.167838	1.269587	2.627669	-0.922032	0.310502	-1.400100	0.769190	0.297557	0.358784	0.231654

	ALTERSKATEGORIE_GROB	ANREDE_KZ	FINANZ_MINIMALIST	FINANZ_SPARER	FINANZ_VORSORGER	FINANZ_ANLEGER	FINANZ_UNAUFFAELLIGER	FINANZ_HAUSBAUER	GEBURTSJAHR	GREEN_AVANTGARDE	...	CAMEO_WEALTH_Comfortable Households	CAMEO_WEALTH_Less Affluent Households	CAMEO_WEALTH_Poorer Households	CAMEO_WEALTH_Prosperous Households	CAMEO_WEALTH_Wealthy Households	CAMEO_TYPE_Elders In Retirement	CAMEO_TYPE_Families With School Age Children	CAMEO_TYPE_Older Families & Mature Couples	CAMEO_TYPE_Pre-Family Couples & Singles	CAMEO_TYPE_Young Couples With Children
0	-0.679761	-0.725093	-1.207934	-0.536973	-0.590079	2.319781	3.241688	-0.570232	0.742412	-1.050834	...	-0.32041	1.934305	-0.378175	-0.636749	-0.627305	-0.514833	-0.454935	-0.757017	2.288732	-0.322867
1	0.743401	-0.725093	0.734777	-0.536973	0.531474	-0.625978	-0.859841	-0.570232	-0.509930	0.951625	...	-0.32041	-0.516982	-0.378175	1.570476	-0.627305	-0.514833	2.198116	-0.757017	-0.436923	-0.322867
2	0.743401	-0.725093	0.734777	-0.536973	0.531474	-0.625978	0.165541	-0.570232	-0.788229	0.951625	...	-0.32041	-0.516982	-0.378175	-0.636749	1.594122	1.942378	-0.454935	-0.757017	-0.436923	-0.322867
3	-0.679761	-0.725093	0.734777	0.626499	-0.590079	-0.625978	1.190924	-1.335166	0.672837	0.951625	...	-0.32041	-0.516982	-0.378175	-0.636749	1.594122	1.942378	-0.454935	-0.757017	-0.436923	-0.322867
4	0.743401	-0.725093	0.734777	-0.536973	0.531474	-0.625978	1.190924	-0.570232	-0.440356	0.951625	...	-0.32041	-0.516982	-0.378175	-0.636749	1.594122	-0.514833	-0.454935	1.320975	-0.436923	-0.322867

	AGER_TYP	ALTERSKATEGORIE_GROB	ANREDE_KZ	CJT_GESAMTTYP	FINANZ_MINIMALIST	FINANZ_SPARER	FINANZ_VORSORGER	FINANZ_ANLEGER	FINANZ_UNAUFFAELLIGER	FINANZ_HAUSBAUER	...	PLZ8_ANTG1	PLZ8_ANTG2	PLZ8_ANTG3	PLZ8_ANTG4	PLZ8_BAUMAX	PLZ8_HHZ	PLZ8_GBZ	ARBEIT	ORTSGR_KLS9	RELAT_AB
0	-1	2	1	2.0	3	4	3	5	5	3	...	NaN	NaN	NaN	NaN	NaN	NaN	NaN	NaN	NaN	NaN
1	-1	1	2	5.0	1	5	2	5	4	5	...	2.0	3.0	2.0	1.0	1.0	5.0	4.0	3.0	5.0	4.0
2	-1	3	2	3.0	1	4	1	2	3	5	...	3.0	3.0	1.0	0.0	1.0	4.0	4.0	3.0	5.0	2.0
3	2	4	2	2.0	4	2	5	2	1	2	...	2.0	2.0	2.0	0.0	1.0	3.0	4.0	2.0	3.0	3.0
4	-1	3	1	5.0	4	3	4	1	3	2	...	2.0	4.0	2.0	1.0	2.0	3.0	3.0	4.0	6.0	5.0

	attribute	information_level	type	missing_or_unknown
0	AGER_TYP	person	categorical	[-1,0]
1	ALTERSKATEGORIE_GROB	person	ordinal	[-1,0,9]
2	ANREDE_KZ	person	categorical	[-1,0]
3	CJT_GESAMTTYP	person	categorical	[0]
4	FINANZ_MINIMALIST	person	ordinal	[-1]

	ALTERSKATEGORIE_GROB	ANREDE_KZ	CJT_GESAMTTYP	FINANZ_MINIMALIST	FINANZ_SPARER	FINANZ_VORSORGER	FINANZ_ANLEGER	FINANZ_UNAUFFAELLIGER	FINANZ_HAUSBAUER	FINANZTYP	...	PLZ8_ANTG1	PLZ8_ANTG2	PLZ8_ANTG3	PLZ8_ANTG4	PLZ8_BAUMAX	PLZ8_HHZ	PLZ8_GBZ	ARBEIT	ORTSGR_KLS9	RELAT_AB
0	2.0	1	2.0	3	4	3	5	5	3	4	...	NaN	NaN	NaN	NaN	NaN	NaN	NaN	NaN	NaN	NaN
1	1.0	2	5.0	1	5	2	5	4	5	1	...	2.0	3.0	2.0	1.0	1.0	5.0	4.0	3.0	5.0	4.0
2	3.0	2	3.0	1	4	1	2	3	5	1	...	3.0	3.0	1.0	0.0	1.0	4.0	4.0	3.0	5.0	2.0
3	4.0	2	2.0	4	2	5	2	1	2	6	...	2.0	2.0	2.0	0.0	1.0	3.0	4.0	2.0	3.0	3.0
4	3.0	1	5.0	4	3	4	1	3	2	5	...	2.0	4.0	2.0	1.0	2.0	3.0	3.0	4.0	6.0	5.0

	ALTERSKATEGORIE_GROB	ANREDE_KZ	FINANZ_MINIMALIST	FINANZ_SPARER	FINANZ_VORSORGER	FINANZ_ANLEGER	FINANZ_UNAUFFAELLIGER	FINANZ_HAUSBAUER	GEBURTSJAHR	GREEN_AVANTGARDE	...	PLZ8_ANTG3	PLZ8_ANTG4	PLZ8_BAUMAX	PLZ8_HHZ	PLZ8_GBZ	ARBEIT	ORTSGR_KLS9	RELAT_AB	OST_WEST_KZ_W
1	1.0	2	1	5	2	5	4	5	1996.0	0	...	2.0	1.0	1.0	5.0	4.0	3.0	5.0	4.0	1
2	3.0	2	1	4	1	2	3	5	1979.0	1	...	1.0	0.0	1.0	4.0	4.0	3.0	5.0	2.0	1
3	4.0	2	4	2	5	2	1	2	1957.0	0	...	2.0	0.0	1.0	3.0	4.0	2.0	3.0	3.0	1
4	3.0	1	4	3	4	1	3	2	1963.0	0	...	2.0	1.0	2.0	3.0	3.0	4.0	6.0	5.0	1
5	1.0	2	3	1	5	2	2	5	1943.0	0	...	1.0	1.0	1.0	5.0	5.0	2.0	3.0	3.0	1

	PRAEGENDE_JUGENDJAHRE	PJ_DECADE	PJ_MOVEMENT
1	14.0	90.0	Mainstream
2	15.0	90.0	Avantgarde
3	8.0	70.0	Mainstream
4	8.0	70.0	Mainstream
5	3.0	50.0	Mainstream

	CAMEO_INTL_2015	CAMEO_WEALTH	CAMEO_TYPE
1	51	Poorer Households	Pre-Family Couples & Singles
2	24	Prosperous Households	Older Families & Mature Couples
3	12	Wealthy Households	Young Couples With Children
4	43	Less Affluent Households	Families With School Age Children
5	54	Poorer Households	Older Families & Mature Couples

	ALTERSKATEGORIE_GROB	ANREDE_KZ	FINANZ_MINIMALIST	FINANZ_SPARER	FINANZ_VORSORGER	FINANZ_ANLEGER	FINANZ_UNAUFFAELLIGER	FINANZ_HAUSBAUER	GEBURTSJAHR	GREEN_AVANTGARDE	...	CAMEO_WEALTH_Less Affluent Households	CAMEO_WEALTH_Prosperous Households	CAMEO_WEALTH_Wealthy Households	CAMEO_TYPE_Elders In Retirement	CAMEO_TYPE_Families With School Age Children	CAMEO_TYPE_Older Families & Mature Couples	CAMEO_TYPE_Pre-Family Couples & Singles
4	3.0	1	3	1	4	4	5	2	1960.0	0	...	1	0	0	0	0	0	1
6	4.0	1	5	1	5	1	1	2	1942.0	1	...	0	1	0	0	1	0	0
7	4.0	1	5	1	5	1	2	2	1938.0	1	...	0	0	1	1	0	0	0
9	3.0	1	5	2	4	1	3	1	1959.0	1	...	0	0	1	1	0	0	0
11	4.0	1	5	1	5	1	3	2	1943.0	1	...	0	0	1	0	0	1	0

	0	1	2	3	4	5	6	7	8	9	...	13	14	15	16	17	18	19	20	21	22
0	-1.013574	2.760776	3.739766	2.114762	-4.004888	-0.476449	-1.098151	-1.510466	-1.851106	0.750956	...	-0.471501	-0.712683	0.619459	-1.149450	-1.355801	-0.316719	0.970205	-0.144081	-0.995667	1.291830
1	1.595978	-3.484138	-0.940677	-2.272575	0.520450	1.810222	-1.322599	-0.029749	0.076825	-1.359827	...	0.649930	-0.918745	-0.561023	1.203982	-0.190644	0.091722	-1.763638	0.436039	0.011441	-0.628056
2	-0.157418	-2.828900	0.704278	-3.518032	2.788855	-0.228760	0.077080	2.128467	0.940981	0.800280	...	0.799137	-0.880596	-1.338180	0.014665	-0.342242	0.938947	1.141261	-1.012946	-0.748080	-0.120945
3	4.608985	-1.152022	2.253481	0.927699	2.349734	-0.867434	-0.743760	-1.549642	-0.800444	-1.572749	...	-0.567474	0.140394	-0.610018	-0.798437	-2.402305	0.485608	1.755916	-0.758268	-0.258296	-0.007146
4	1.249695	-3.141666	1.489278	-2.364143	2.133931	2.702578	0.204349	2.961339	1.312565	1.357102	...	-1.551435	-0.997268	-1.044717	0.552003	0.810088	0.686653	-0.647047	0.174805	-1.206592	0.339915

	AGER_TYP	ALTERSKATEGORIE_GROB	ANREDE_KZ	CJT_GESAMTTYP	FINANZ_MINIMALIST	FINANZ_SPARER	FINANZ_VORSORGER	FINANZ_ANLEGER	FINANZ_UNAUFFAELLIGER	FINANZ_HAUSBAUER	...	PLZ8_ANTG1	PLZ8_ANTG2	PLZ8_ANTG3	PLZ8_ANTG4	PLZ8_BAUMAX	PLZ8_HHZ	PLZ8_GBZ	ARBEIT	ORTSGR_KLS9	RELAT_AB
0	-1	2	1	2.0	3	4	3	5	5	3	...	NaN	NaN	NaN	NaN	NaN	NaN	NaN	NaN	NaN	NaN
1	-1	1	2	5.0	1	5	2	5	4	5	...	2.0	3.0	2.0	1.0	1.0	5.0	4.0	3.0	5.0	4.0
2	-1	3	2	3.0	1	4	1	2	3	5	...	3.0	3.0	1.0	0.0	1.0	4.0	4.0	3.0	5.0	2.0
3	2	4	2	2.0	4	2	5	2	1	2	...	2.0	2.0	2.0	0.0	1.0	3.0	4.0	2.0	3.0	3.0
4	-1	3	1	5.0	4	3	4	1	3	2	...	2.0	4.0	2.0	1.0	2.0	3.0	3.0	4.0	6.0	5.0

	ALTERSKATEGORIE_GROB	ANREDE_KZ	CJT_GESAMTTYP	FINANZ_MINIMALIST	FINANZ_SPARER	FINANZ_VORSORGER	FINANZ_ANLEGER	FINANZ_UNAUFFAELLIGER	FINANZ_HAUSBAUER	FINANZTYP	...	PLZ8_ANTG1	PLZ8_ANTG2	PLZ8_ANTG3	PLZ8_ANTG4	PLZ8_BAUMAX	PLZ8_HHZ	PLZ8_GBZ	ARBEIT	ORTSGR_KLS9	RELAT_AB
0	2.0	1	2.0	3	4	3	5	5	3	4	...	NaN	NaN	NaN	NaN	NaN	NaN	NaN	NaN	NaN	NaN
1	1.0	2	5.0	1	5	2	5	4	5	1	...	2.0	3.0	2.0	1.0	1.0	5.0	4.0	3.0	5.0	4.0
2	3.0	2	3.0	1	4	1	2	3	5	1	...	3.0	3.0	1.0	0.0	1.0	4.0	4.0	3.0	5.0	2.0
3	4.0	2	2.0	4	2	5	2	1	2	6	...	2.0	2.0	2.0	0.0	1.0	3.0	4.0	2.0	3.0	3.0
4	3.0	1	5.0	4	3	4	1	3	2	5	...	2.0	4.0	2.0	1.0	2.0	3.0	3.0	4.0	6.0	5.0

	AGER_TYP	ALTERSKATEGORIE_GROB	ANREDE_KZ	CJT_GESAMTTYP	FINANZ_MINIMALIST	FINANZ_SPARER	FINANZ_VORSORGER	FINANZ_ANLEGER	FINANZ_UNAUFFAELLIGER	FINANZ_HAUSBAUER	...	PLZ8_ANTG1	PLZ8_ANTG2	PLZ8_ANTG3	PLZ8_ANTG4	PLZ8_BAUMAX	PLZ8_HHZ	PLZ8_GBZ	ARBEIT	ORTSGR_KLS9	RELAT_AB
0	-1	2	1	2.0	3	4	3	5	5	3	...	NaN	NaN	NaN	NaN	NaN	NaN	NaN	NaN	NaN	NaN
1	-1	1	2	5.0	1	5	2	5	4	5	...	2.0	3.0	2.0	1.0	1.0	5.0	4.0	3.0	5.0	4.0
2	-1	3	2	3.0	1	4	1	2	3	5	...	3.0	3.0	1.0	0.0	1.0	4.0	4.0	3.0	5.0	2.0
3	2	4	2	2.0	4	2	5	2	1	2	...	2.0	2.0	2.0	0.0	1.0	3.0	4.0	2.0	3.0	3.0
4	-1	3	1	5.0	4	3	4	1	3	2	...	2.0	4.0	2.0	1.0	2.0	3.0	3.0	4.0	6.0	5.0

	ALTERSKATEGORIE_GROB	ANREDE_KZ	CJT_GESAMTTYP	FINANZ_MINIMALIST	FINANZ_SPARER	FINANZ_VORSORGER	FINANZ_ANLEGER	FINANZ_UNAUFFAELLIGER	FINANZ_HAUSBAUER	FINANZTYP	...	PLZ8_ANTG1	PLZ8_ANTG2	PLZ8_ANTG3	PLZ8_ANTG4	PLZ8_BAUMAX	PLZ8_HHZ	PLZ8_GBZ	ARBEIT	ORTSGR_KLS9	RELAT_AB
0	2.0	1	2.0	3	4	3	5	5	3	4	...	NaN	NaN	NaN	NaN	NaN	NaN	NaN	NaN	NaN	NaN
1	1.0	2	5.0	1	5	2	5	4	5	1	...	2.0	3.0	2.0	1.0	1.0	5.0	4.0	3.0	5.0	4.0
2	3.0	2	3.0	1	4	1	2	3	5	1	...	3.0	3.0	1.0	0.0	1.0	4.0	4.0	3.0	5.0	2.0
3	4.0	2	2.0	4	2	5	2	1	2	6	...	2.0	2.0	2.0	0.0	1.0	3.0	4.0	2.0	3.0	3.0
4	3.0	1	5.0	4	3	4	1	3	2	5	...	2.0	4.0	2.0	1.0	2.0	3.0	3.0	4.0	6.0	5.0